Approximations to the two-hole ground state of the Hubbard-Anderson model: a numerical test

M.O. Elout, M.R.M.J. Traa and W.J. Caspers

Physica A: Statistical Mechanics and its Applications, 1995, vol. 215, issue 1, 152-169

Abstract: Several resonating-valence-bond-type states are being considered as an approximation of the two-hole ground state of the two-dimensional Hubbard-Anderson model. These states have been carefully constructed by Traa and Caspers with such algebraic properties, as to optimise different contributions of the Hubbard-Anderson hamiltonian. In this paper, the different contributions to their energies are calculated for lattices with sizes from 8 × 8 up to 16 × 16 and periodic boundary conditions, using a variational Monte-Carlo method. We show which state is lowest in energy and, more important, why this is so. In accordance with the optimal state from this tested set, we propose a bound state. It will be shown that this state is indeed the most stable state.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:215:y:1995:i:1:p:152-169

DOI: 10.1016/0378-4371(94)00270-4

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